A generalization of Dumas irreducibility criterion

Fuente: arXiv
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Autore principale: Singh, Jitender
Natura: Preprint
Pubblicazione: 2025
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author Singh, Jitender
author_facet Singh, Jitender
contents Using Newton polygons, a key factorization result for polynomials over discrete valuation domains is proved, which in particular yields new irreducibility criteria including a generalization of the classical irreducibility criterion of Dumas.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08549
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A generalization of Dumas irreducibility criterion
Singh, Jitender
Number Theory
Commutative Algebra
Algebraic Geometry
12E05, 11C08
Using Newton polygons, a key factorization result for polynomials over discrete valuation domains is proved, which in particular yields new irreducibility criteria including a generalization of the classical irreducibility criterion of Dumas.
title A generalization of Dumas irreducibility criterion
topic Number Theory
Commutative Algebra
Algebraic Geometry
12E05, 11C08
url https://arxiv.org/abs/2505.08549